Area of intersection of two circles

I have two circles. Seconds center is on the edge of the first. Radius of a first one is r1 and radius of second one is r2 so that area of intersection of these circles is half of the area of the first one. Find r2 depending on the r1.

Sorry for my poor English i am only in elementary school.

Re: Area of intersection of two circles

Quote:

Originally Posted by

**Vlukav** I have two circles. Seconds center is on the edge of the first. Radius of a first one is r1 and radius of second one is r2 so that area of intersection of these circles is half of the area of the first one. Find r2 depending on the r1.

Sorry for my poor English i am only in elementary school.

This is tethered goat problem see:

Goat Problem -- from Wolfram MathWorld

CB